Describe the following sets in set-builder form: C = 0, 3, 6, 9, … - Vidyadip

Question

Describe the following sets in set-builder form:
C = {0, 3, 6, 9, 12, ...};

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Answer

In set Builder form, a set is described by some characterising property P(x) of its elements x. In this case a set can be described as {x : P (x) hold} which is read as 'the set of all x such that P(x) holds'. The symbols ':' or 'I' is read as 'such that'.$\text{C} = \{\text{x : x = 3k, k} \in\text{ Z}^+,\text{ the set of positive integers}\},$
i.e. C is the set of multiples of 3 including 0.

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